Oblique correction in a walking lattice theory

Abstract

I compute the difference of vector and axial vector current correlators in the weak coupling phase of (lattice-regulated) SU(3) gauge theory with two flavors of symmetric-representation dynamical fermions. This is a walking theory at the bare parameter values chosen for the simulation. Otherwise, it is not a conventional technicolor candidate. The correlator difference shows scaling behavior in the fermion mass, and vanishes in the fermion zero mass limit. Consequences for the phenomenology of similar systems which might be candidates for beyond Standard Model physics are discussed. I check my methodology against ordinary QCD, by computing the Gasser-Leutwyler coefficient L_10 and the charged - neutral pion mass difference from an approximate parameterization of the correlator.